6533b822fe1ef96bd127d40a
RESEARCH PRODUCT
N-order rational solutions to the Johnson equation depending on 2N - 2 parameter
Pierre Gaillardsubject
[MATH.MATH-MP]Mathematics [math]/Mathematical Physics [math-ph][ MATH.MATH-MP ] Mathematics [math]/Mathematical Physics [math-ph][MATH.MATH-MP] Mathematics [math]/Mathematical Physics [math-ph]PACS numbers : 33Q55 37K10 47.10A- 47.35.Fg 47.54.Bddescription
International audience; We construct rational solutions of order N depending on 2N-2 parameters. They can be written as a quotient of 2 polynomials of degree 2N(N+1) in x, t and 2N(N+1) in y depending on 2N-2 parameters. We explicitly construct the expressions of the rational solutions of order 4 depending on 6 real parameters and we study the patterns of their modulus in the plane (x,y) and their evolution according to time and parameters a1,a2,a3,b1,b2,b3.
| year | journal | country | edition | language |
|---|---|---|---|---|
| 2017-01-01 |